Mathematics of Operations Research
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MATHEMATICS OF OPERATIONS RESEARCH
Vol. 34, No. 1, February 2009, pp. 57-70
DOI: 10.1287/moor.1080.0347
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Strategic Manipulation of Empirical Tests

Wojciech Olszewski, Alvaro Sandroni

Department of Economics, Northwestern University, Evanston, Illinois 60208
Department of Economics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, and Department of Managerial Economics and Decision Sciences, Kellogg School of Management, Northwestern University, Evanston, Illinois 60208

wo{at}northwestern.edu, http://www.faculty.econ.northwestern.edu/faculty/olszewski/
sandroni{at}sas.upenn.edu, http://www.econ.upenn.edu/cgi-bin/mecon/bin/view.cgi?id=180

Theories can be produced by experts seeking a reputation for having knowledge. Hence, a tester could anticipate that theories may have been strategically produced by uninformed experts who want to pass an empirical test.

We show that, with no restriction on the domain of permissible theories, strategic experts cannot be discredited for an arbitrary but given number of periods, no matter which test is used (provided that the test does not reject the actual data-generating process).

Natural ways around this impossibility result include (1) assuming that unbounded data sets are available and (2) restricting the domain of permissible theories (opening the possibility that the actual data-generating process is rejected out-of-hand). In both cases, it is possible to dismiss strategic experts but only to a limited extent. These results show significant limits on what data can accomplish when experts produce theories strategically.

Key Words: forecasting; testing; calibration
History: Received: June 8, 2007; revision received: May 6, 2008;


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Proc. Natl. Acad. Sci. USAHome page
W. Olszewski and A. Sandroni
Manipulability of comparative tests
PNAS, March 31, 2009; 106(13): 5029 - 5034.
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